{
  "id": 1252,
  "curve_key": "1071509686793776:-35073791847754492247000",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-22323118474870",
    "40594673931496079872"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 103.82353491361845,
  "faltings_height": 6.307476047188305,
  "conductor": "2268015996649",
  "bad_primes": [
    "13",
    "61",
    "103",
    "1061",
    "26171"
  ],
  "discriminant": "37480426396461743018244819482789186917",
  "regulator": "1699.570862148325288181242748980110494847455987",
  "points": [
    [
      "9913109/4",
      "5617221489/8"
    ],
    [
      "2709023",
      "42642875"
    ],
    [
      "104644838387/38809",
      "638726423948635/7645373"
    ],
    [
      "241207709/100",
      "885059039027/1000"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+(t+1)xy+ty=x^3+tx^2 with torsion Z/5Z, at t=18849/-507.",
  "created_at": "2026-09-24 16:27:28",
  "updated_at": "2026-09-24 16:27:28"
}